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Finding the Fourth Proportional to 13,422.19, 20,126.79 and 5,628.91

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Solution

The fourth proportional to 13,422.19, 20,126.79 and 5,628.91 is: 8,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.19 : 20,126.79 = 5,628.91 : x
  2. Step 2: Convert to fraction form
    13,422.19/20,126.79 = 5,628.91/x
  3. Step 3: Cross multiply
    13,422.19x = 20,126.79 × 5,628.91
  4. Step 4: Simplify right side
    13,422.19x = 113,291,889.50
  5. Step 5: Solve for x
    x = 113,291,889.50/13,422.19
  6. Step 6: Final answer
    x = 8,440.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.